Question

two supplementary angles differ by 38°. Find the angles. please solve as soon as possible<33

Answer 1

Step-by-step explanation:

Supplementary angles are the angles which when are added the sum will be =

180

-> let one number be x

so the other number will be x - 38°

-> x + ( x - 38°) = 180°

So , 2x - 38° = 180°

2x= 180° + 38°

2x = 218°

x = 218°÷ 2

x = 109°

x - 38° = 109° - 38° = 71°

Answer 2

Given :–

• Two supplementary angles differ by 38°.

To Find :–

• Measures of both angles.

Solution :–

Let,

The first angle be x.

And the second angle be y.

According to the question,

• x – y = 38°

• x = 38 + y –––––(1)

We know that,

Sum of two supplementary angles = 180°

It means,

→ x + y = 180°

Now, put equation (1),

→ (38° + y) + y = 180°

→ 38° + y + y = 180°

→ 38° + 2y = 180°

→ 2y = 180° – 38°

→ 2y = 142°

→ y = $\dfrac{\cancel{142}}{\cancel2}$

→ y = 71°

Now, put the value of y in equation (1), we obtain

• x = 38° + y

→ x = 38° + 71°

→ x = 109°

Hence,

The measures of both the angles are 71° & 109°.

Check :–

Sum of two supplementary angles = 180°

It means,

→ x + y = 180°

Here,

• x = 109°
• y = 71°

Put both the values,

→ 109° + 71°

→ 180°